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Finding the Fourth Proportional to 23,536.98, 35,305.74 and 7,743.06

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Solution

The fourth proportional to 23,536.98, 35,305.74 and 7,743.06 is: 11,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,536.98 : 35,305.74 = 7,743.06 : x
  2. Step 2: Convert to fraction form
    23,536.98/35,305.74 = 7,743.06/x
  3. Step 3: Cross multiply
    23,536.98x = 35,305.74 × 7,743.06
  4. Step 4: Simplify right side
    23,536.98x = 273,374,463.16
  5. Step 5: Solve for x
    x = 273,374,463.16/23,536.98
  6. Step 6: Final answer
    x = 11,614.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.